Definition, Meaning & Synonyms

borel

noun

/ˈbɔːr.əl/

Definition

Referring to a specific type of set used in measure theory.

Examples

The Borel sets include open intervals, closed intervals, and their countable unions and intersections.
In measure theory, every Borel set can be measured with respect to a probability measure.

Meaning

In mathematics, particularly in the field of topology, a borel set is any set in a Borel σ-algebra. Borel sets are crucial in various areas such as probability and real analysis.